Introduction to Polar Graphs

Introduction to Polar Graphs

Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. In a polar coordinate system, a point is defined by its distance from the origin (r) and its   (θ).

2. The origin in a polar coordinate system is also known as the  .

3. The positive x-axis in a Cartesian coordinate system corresponds to the   axis in a polar coordinate system.

1. Plot the polar coordinate (3, π/4) on the polar grid below.

2. Convert the polar coordinate (4, π/2) to its equivalent Cartesian coordinate.

1. Which of the following represents the same point as (2, 3π/2) in polar coordinates?

2. The equation r = 5 represents what shape in polar coordinates?

1. Sketch the graph of the polar equation r = 4sin(θ).